Find the signs of the six trigonometric function values for the given angle.
\[
303^{\circ}
\]
$\sin 303^{\circ}$ is $\cos 303^{\circ}$ is and $\tan 303^{\circ}$ is $\csc 303^{\circ}$ is $\sec 303^{\circ}$ is and $\cot 303^{\circ}$ is
Answer
\(\csc 303^{\circ}\) is \(\boxed{\text{negative}}\), \(\sec 303^{\circ}\) is \(\boxed{\text{positive}}\), \(\cot 303^{\circ}\) is \(\boxed{\text{negative}}\)
Step 1 ：An angle of 303 degrees lies in the fourth quadrant. In the fourth quadrant, cosine and secant are positive, while sine, cosecant, tangent, and cotangent are negative.
Step 2 ：The signs of the six trigonometric function values for the angle $303^{\circ}$ are as follows:
Step 3 ：\(\sin 303^{\circ}\) is \(\boxed{\text{negative}}\), \(\cos 303^{\circ}\) is \(\boxed{\text{positive}}\), \(\tan 303^{\circ}\) is \(\boxed{\text{negative}}\)
Step 4 ：\(\csc 303^{\circ}\) is \(\boxed{\text{negative}}\), \(\sec 303^{\circ}\) is \(\boxed{\text{positive}}\), \(\cot 303^{\circ}\) is \(\boxed{\text{negative}}\)
